$$\theta = 2 \arcsin\left(a \sin\left(\frac{\pi}{M}\right)\right)$$
where $0 < a < 1 $ and $M$ is a positive integer. Can $\theta$ be expressed in a further compact form? If possible in a form without any trigonometric function?
$$\theta = 2 \arcsin\left(a \sin\left(\frac{\pi}{M}\right)\right)$$
where $0 < a < 1 $ and $M$ is a positive integer. Can $\theta$ be expressed in a further compact form? If possible in a form without any trigonometric function?
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